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Finding the Fourth Proportional to 2,960.74, 4,086.01 and 1,634.46

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Solution

The fourth proportional to 2,960.74, 4,086.01 and 1,634.46 is: 2,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.74 : 4,086.01 = 1,634.46 : x
  2. Step 2: Convert to fraction form
    2,960.74/4,086.01 = 1,634.46/x
  3. Step 3: Cross multiply
    2,960.74x = 4,086.01 × 1,634.46
  4. Step 4: Simplify right side
    2,960.74x = 6,678,419.90
  5. Step 5: Solve for x
    x = 6,678,419.90/2,960.74
  6. Step 6: Final answer
    x = 2,255.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.